Speed dating procedure

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I.e.: could the gentlemen circle a rectangular table in a clockwise fashion, then rearrange themselves and continue in another fashion such that given any number of men, every man would be paired with every other man in the smallest number of iterations and without pairing two men together twice. Imagine a long table with a seat at one end and $\frac$ seats along each long side. After each round, each person moves one seat clockwise. This gets us N-1 rounds in the even case, which is optimal. It's a little complex, but essentially you split the room into 2 parts, and then have 1/2 the room meet the other 1/2.

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In half of those events, participants engaged in the standard speed-dating procedure of men circulating while women stayed in one place.Fixed even case, now optimal: If N is even, use the same table. Would you like to answer one of these unanswered questions instead?Speed dating is a great way to get to know a lot of potential partners or dates in a short amount of time.However, other researchers wondered if this apparent gender difference was actually a gender difference, or if instead it was the result of the social situation.Specifically, these researchers investigated whether the results were a result of women sitting in one place, while men circulated around the room.

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